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Paper 14562014Volatility Estimation through ARCH/MARCH Modeling ARIC La Barr, Institute for Advanced Analytics North Carolina State University ABSTRACT Volatility estimation plays an important role
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To fill out a model of volatility, follow these steps:
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Start by gathering historical data on the desired asset or market for a specific time period. This data should include price or return data at regular intervals, such as daily or weekly.
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Calculate the logarithmic returns for each data point. This can be done by taking the natural logarithm of the ratio of the current price or return to the previous price or return.
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Compute the average logarithmic return by summing up all the logarithmic returns and dividing by the total number of data points.
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Calculate the deviation of each logarithmic return from the average logarithmic return by subtracting the average logarithmic return from each return.
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Square each deviation to eliminate negative values and to emphasize larger deviations.
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Sum up all the squared deviations and divide by the total number of data points minus 1 to compute the variance.
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Finally, take the square root of the variance to obtain the standard deviation, which represents the volatility of the asset or market.

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- Researchers and academics who study financial markets and asset pricing.
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Modeling volatility involves using statistical methods to estimate the degree of variation of a trading price series over time. This often includes techniques like GARCH models or implied volatility measures.
Entities involved in financial trading, investment firms, and organizations focused on risk management typically need to file models of volatility for regulatory compliance or internal risk assessment.
Filling out a volatility model generally involves collecting historical price data, selecting an appropriate model, estimating parameters, and validating the model against historical performance.
The purpose of modeling volatility is to understand and predict future price movements, assess risk, and improve decision-making in trading and investment strategies.
Reported information typically includes the model used, parameters estimated, historical data utilized, validation results, and conclusions drawn from the model.
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